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Finding the Fourth Proportional to 9,508.48, 13,132 and 6,532.16

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Solution

The fourth proportional to 9,508.48, 13,132 and 6,532.16 is: 9,021.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.48 : 13,132 = 6,532.16 : x
  2. Step 2: Convert to fraction form
    9,508.48/13,132 = 6,532.16/x
  3. Step 3: Cross multiply
    9,508.48x = 13,132 × 6,532.16
  4. Step 4: Simplify right side
    9,508.48x = 85,780,325.12
  5. Step 5: Solve for x
    x = 85,780,325.12/9,508.48
  6. Step 6: Final answer
    x = 9,021.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.